Math Problem Statement
a) What is µ, and ox (sigma chi), for this distribution? Round values to two decimal places if needed.
Solution
Based on the images provided, here is the information about the normal distribution:
- μ (mean) = 119.7
- σ (standard deviation) = 10.9
These values describe the normal distribution where the probability is approximately 0.9508.
Would you like more details or have any specific questions?
Here are 5 related questions to deepen your understanding:
- What does the value of represent in the context of a normal distribution?
- How does the standard deviation affect the shape of a normal distribution?
- What percentage of the data lies within 1 standard deviation of the mean in this normal distribution?
- How would you interpret the probability ?
- How does changing and affect the probabilities in a normal distribution?
Tip: In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, and 95% within two standard deviations.
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Probability
Formulas
P(a ≤ X ≤ b) = 0.9508
Standard Normal Formula Z = (X - µ) / σ
Theorems
Empirical Rule
Suitable Grade Level
Grades 10-12
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